Answer:
35.0 cm (to 3 significant figures)
Step-by-step explanation:
Circumference of a circle = 2d (where d is the diameter).
Since the rectangle is inscribed in the circle (all 4 vertex touch, but not intersect, the circumference of the circle), we can see that the diameter of the circle is in fact the diagonal of the rectangle.
Therefore, to calculate the circumference we need to find the diagonal of the rectangle and plug it into the above formula.
To find the diagonal, we use Pythagoras' Theorem a² + b² = c² (where a and b are the legs, and c is the hypotenuse of a right angled triangle).
From inspection, the diagram has given us the lengths of the legs as 9cm and 15cm. So:
9² + 15² = c²
81 + 225 = c²
306 = c²
c = √306 = 3√34
Therefore, the diameter of the circle = 3√34 cm
Circumference = 2d
= 2 x 3√34
= 6√34
= 35.0 cm (to 3 significant figures)
Now,
G - Ginny's age.
P=G+8, Percy's age.
In 10 years,
G + 10 - Ginny's age in 10 years.
P+10 - Percy's age in 10 years.
<span> In ten years time Percy (P+10) will be three times Ginnys present age (3G).
P+10=3G
Now we have 2 equations, and we can write a system of equations.
</span>(1) P=G+8
(2) P+10=3G -------> G=(P+10)/3, we need to substitute it into equation 1.
( P=(P+10)/3+8) /*3
3P=P +10+24
2P = 34
P = 17
Percy is 17 years old now.
Check,
P=17, G=17-8=9
P+10=3G , 17+10=3*9, 27 = 27 True
Trapezoid because it doesn't have to parareles sides like the other
Answer:
18 bags
with 90/18 = 5 apples
and 72/18 = 4 oranges
in each bag
Step-by-step explanation:
Answer:
y = (10/7)x
Step-by-step explanation:
Ok so this is a hard question but I believe the answer is y = (10/7)x
